Description

Book Synopsis
Places Lebesgue's early work on integration theory within in proper historical context by relating it to the developments during the nineteenth century that motivated it and gave it significance and also to the contributions made in this field by Lebesgue's contemporaries.

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... the epitome of what a mathematical history should be. Science

Table of Contents
Riemann's theory of integration The development of riemann's ideas: 1870-80 Set theory and the theory of integration The end of the century: A period of transition The creation of modern integration theory Pioneering applications of the Lebesgue integral Epilogue: The Lebesgue-Stieltjes integral Appendix: Dini's theorem on the differentiability of continuous functions Glossary Special symbols List of abbreviations Bibliography Index.

Lebesgues Theory of Integration

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    A Hardback by American Mathem American Mathem

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      View other formats and editions of Lebesgues Theory of Integration by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: 10/30/2001 12:00:00 AM
      ISBN13: 9780821829639, 978-0821829639
      ISBN10: 0821829637

      Description

      Book Synopsis
      Places Lebesgue's early work on integration theory within in proper historical context by relating it to the developments during the nineteenth century that motivated it and gave it significance and also to the contributions made in this field by Lebesgue's contemporaries.

      Trade Review
      ... the epitome of what a mathematical history should be. Science

      Table of Contents
      Riemann's theory of integration The development of riemann's ideas: 1870-80 Set theory and the theory of integration The end of the century: A period of transition The creation of modern integration theory Pioneering applications of the Lebesgue integral Epilogue: The Lebesgue-Stieltjes integral Appendix: Dini's theorem on the differentiability of continuous functions Glossary Special symbols List of abbreviations Bibliography Index.

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